NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 1: Real Numbers - Exercise 1.1 - Multiple Choice QuestionsQuestion 5
Class 10 - Mathematics - CHAPTER 1: Real Numbers - Exercise 1.1 - Multiple Choice Questions
Question. 5
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
(A)
13
(B)
65
(C)
875
(D)
1750
Handwritten Notes
Video Explanation:
Detailed Answer with Explanation:
If the number is \(d\), then:
When 70 is divided by \(d\), remainder = 5. This means \(d\) divides \(70 - 5 = 65\).
When 125 is divided by \(d\), remainder = 8. This means \(d\) divides \(125 - 8 = 117\).
So \(d\) must be a common divisor of 65 and 117.
The HCF of 65 and 117 is 13. Hence, the required number is 13.